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Finding the Fourth Proportional to 2,280.84, 3,420.64 and 982

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Solution

The fourth proportional to 2,280.84, 3,420.64 and 982 is: 1,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.84 : 3,420.64 = 982 : x
  2. Step 2: Convert to fraction form
    2,280.84/3,420.64 = 982/x
  3. Step 3: Cross multiply
    2,280.84x = 3,420.64 × 982
  4. Step 4: Simplify right side
    2,280.84x = 3,359,068.48
  5. Step 5: Solve for x
    x = 3,359,068.48/2,280.84
  6. Step 6: Final answer
    x = 1,472.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.